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Finding the Fourth Proportional to 2,368.91, 3,268.80 and 1,374

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Solution

The fourth proportional to 2,368.91, 3,268.80 and 1,374 is: 1,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.91 : 3,268.80 = 1,374 : x
  2. Step 2: Convert to fraction form
    2,368.91/3,268.80 = 1,374/x
  3. Step 3: Cross multiply
    2,368.91x = 3,268.80 × 1,374
  4. Step 4: Simplify right side
    2,368.91x = 4,491,331.20
  5. Step 5: Solve for x
    x = 4,491,331.20/2,368.91
  6. Step 6: Final answer
    x = 1,895.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.